In 1973, Lemmens and Seidel posed the problem of determining the maximum number of equiangular lines in R^r with angle arccos(alpha) and gave a partial answer in the regime r...
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Convex functions of Gaussian vectors are prominent objectives in many fields of mathematical studies. In this talk, I will establish a new convexity for the logarithmic moment generating function for...
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The recent experimental observation of fractional Chen insulators — the analog of fractional quantum Hall states realized in absence of any applied magnetic field — calls for more detailed theoretical...
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Discrete Morse theory, developed by Forman, is an efficient tool to determine the homotopy type of a regular CW complex. The theory has been reformulated by Chari in purely combinatorial...
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Please see website for more details: www.math.harvard.edu/~ctm/sem.
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For more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html
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We will investigate if some well known properties of log canonical singularities over the complex numbers still hold true over perfect fields of positive characteristic and over excellent rings with...
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The Quantum Chaos Conjecture has long fascinated researchers, postulating a critical spectrum phase transition that separates integrable systems from chaotic systems in quantum mechanics. In the real of integrable systems,...
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It is well known that the Kerr geometry admits a non-trivial Killing tensor and its `square root' known as the Killing-Yano tensor. These two objects stand behind Carter's constant of...
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A striking correspondence between dynamics of automorphism groups of countable first order structures and Ramsey theory of finitary approximation of the structures was established in 2005 by Kechris, Pestov, and...
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